Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON THE REDUCTION OF AN IWASAWA MODULE

  • Oh, Jangheon (Faculty of Mathematics and Statistics, Sejong University)
  • Received : 2020.05.15
  • Accepted : 2021.04.01
  • Published : 2021.06.30
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Abstract

A finitely generated torsion module M for ℤp[[T, T2, ⋯ , Td]] is pseudo-null if M/TM is pseudo-null over ℤp[[T2, ⋯ , Td]]. This result is used as a tool to prove the generalized Greenberg's conjecture in certain cases. The converse may not be true. In this paper, we give examples of pseudo-null Iwasawa modules whose reduction are not pseudo-null.

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References

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